45620 has 12 divisors (see below), whose sum is σ = 95844. Its totient is φ = 18240.

The previous prime is 45613. The next prime is 45631. The reversal of 45620 is 2654.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 23716 = 148^2 + 154^2 .

It is a congruent number.

It is an unprimeable number.

45620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1121 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (7987).

2⁴⁵⁶²⁰ is an apocalyptic number.

It is an amenable number.

45620 is an abundant number, since it is smaller than the sum of its proper divisors (50224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47922).

45620 is a wasteful number, since it uses less digits than its factorization.

45620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 45620 is about 213.5883891975. The cubic root of 45620 is about 35.7315421369.

The spelling of 45620 in words is "forty-five thousand, six hundred twenty".